Quantitative Aptitude - Arithmetic Ability Questions

The vertical angle A of an isosceles triangle ΔABC is three times the angle B of it. The measure of the angle A is

What is that least digit that must be added to the product 5786 × 5784 to make it a perfect square?

The traffic lights at four different road crossings change after every 15 sec, 18 sec, 27 sec and 30 sec respectively. If they all change simultaneously at 6:10:00 hours, then at what time will they again change simultaneously?

If secA/√(sec2A ­- 1) = x, then value of x is

In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 9 cm, 6 cm and 5.4 cm respectively find length of BC?

On dividing a number by 38, we get 70 as quotient and 12 as remainder. What is the number?

If a = 5, b = 4, c = 8 then find the value of (a3 + b3 + c3 - 3abc)/(ab + bc + ca - a2 - b2 - c2)

If 22, x, 88 are in a continued proportion, find the value of x.